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Finding the Fourth Proportional to 78,098.44, 107,771.56 and 45,828.72

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Solution

The fourth proportional to 78,098.44, 107,771.56 and 45,828.72 is: 63,241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,098.44 : 107,771.56 = 45,828.72 : x
  2. Step 2: Convert to fraction form
    78,098.44/107,771.56 = 45,828.72/x
  3. Step 3: Cross multiply
    78,098.44x = 107,771.56 × 45,828.72
  4. Step 4: Simplify right side
    78,098.44x = 4,939,032,647.20
  5. Step 5: Solve for x
    x = 4,939,032,647.20/78,098.44
  6. Step 6: Final answer
    x = 63,241.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.